Solve 30*20/50*49+20*19/50*49

$$\frac{ 30 \cdot 20 }{ 50 \cdot 49 } + \frac{ 20 \cdot 19 }{ 50 \cdot 49 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Cancel out 5\times 10 in both numerator and denominator.

$$\frac{3\times 4}{49}+\frac{20\times 19}{50\times 49}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{49}+\frac{20\times 19}{50\times 49}$$

Cancel out 10 in both numerator and denominator.

$$\frac{12}{49}+\frac{2\times 19}{5\times 49}$$

Multiply 2 and 19 to get 38.

$$\frac{12}{49}+\frac{38}{5\times 49}$$

Multiply 5 and 49 to get 245.

$$\frac{12}{49}+\frac{38}{245}$$

Least common multiple of 49 and 245 is 245. Convert \frac{12}{49} and \frac{38}{245} to fractions with denominator 245.

$$\frac{60}{245}+\frac{38}{245}$$

Since \frac{60}{245} and \frac{38}{245} have the same denominator, add them by adding their numerators.

$$\frac{60+38}{245}$$

Add 60 and 38 to get 98.

$$\frac{98}{245}$$

Reduce the fraction \frac{98}{245} to lowest terms by extracting and canceling out 49.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$